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Communication Dans Un Congrès Année : 2021

Solution of Pierce’s equation for Tam & Auriault's mixing noise model

Résumé

The adjoint method introduced by Tam & Auriault (1998) enables to properly taking into account the acoustic propagation effects when jet noise is modelled from the statistics of a turbulent flow. This technique is recast in a systematic way valid for arbitrary propagation media, linear operators and sound sources. An acoustic analogy based on Pierce's wave equation for the acoustic potential (1990) is proposed in this study. Tam & Auriault's mixing noise model (1999) is reformulated for this operator. This approach presents three main advantages; no instability wave can occur since the acoustic energy conservation is enforced, then for being self-adjoint the adjoint solution to the propagation problem may straightforwardly be computed by flow reversal, finally Pierce's wave equation is a simple and computationally efficient equation that several existing solvers are able to solve. Work performed with Actran TM software is presented illustrating the ability of a commercial tool to solve this equation and to compute adjoint Green's function required in statistical jet noise modelling. The nighty-degree acoustic spectrum of a Mj=0.9 round jet is computed with Green's functions properly tailored to the jet mean flow.
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Dates et versions

hal-03775167 , version 1 (12-09-2022)

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Étienne Spieser, César Legendre, Christophe Bailly. Solution of Pierce’s equation for Tam & Auriault's mixing noise model. AIAA AVIATION 2021 FORUM, Aug 2021, VIRTUAL EVENT, France. ⟨10.2514/6.2021-2238⟩. ⟨hal-03775167⟩
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